Adaptive Thiele interpolation

The current implementation of Thiele rational interpolation in Maple (the ThieleInterpolation routine) breaks down when the points are not well-ordered. In this article, it is shown how this breakdown can be avoided by ordering the interpolation points in an adaptive way

Macromodeling of high-speed interconnects by positive interpolation of vertical segments

State-of-the-art interconnect design is very challenging. Designers are facing ever more stringent design specifications expressed in terms of bandwidth, speed, crosstalk, signal attenuation, etc. that dictate the need for powerful modeling tools. It is of a paramount importance that these tools are able to very accurately incorporate all substrate loss mechanisms and the finite conductivity and shape of the metallic interconnects. From this perspective, macromodels describing all high-frequency behavior are extremely useful to analyze the signal integrity (SI) behavior of the interconnects. Often, interconnect structures are characterized by using their cross-sectional geometry in a two-dimensional (2-D) electromagnetic (EM) simulation, leading up to a corresponding transmission line model [1]. An accurate description of the interconnects is then provided in terms of their per unit of length (p.u.1.) resistance (R), inductance (L), conductance (G) and capacitance (C) parameters, yielding so-called RLGC(f) models. Here, f denotes the frequency, as such indicating the frequency-dependent character of the p.u.l. parameters. For a comprehensive overview of such modeling methods, the reader is encouraged to consult [1] and the references therein. For on-chip lines that are electrically very short, sometimes, the p.u.l. resistance R and capacitance C are dominant (RC regime). In the present paper, however, all four p.u.l. parameters are considered, making the approach more general and also valid at very high frequencies. Thereto, a very accurate 2-D EM modeling procedure, making use of a Dirichlet-to-Neumann (DtN) boundary operator, is used as a starting point [2]. This metho

Search for lepton-flavour-violating H → μτ decays of the Higgs boson with the ATLAS detector

A direct search for lepton-flavour-violating H → μτ decays of the recently discovered Higgs boson with the ATLAS detector at the LHC is presented. The analysis is performed in the H → μτ had channel, where τ had is a hadronically decaying τ -lepton. The search is based on the data sample of proton-proton collisions collected by the ATLAS experiment corresponding to an integrated luminosity of 20.3 fb−1 at a centre-of-mass energy of s √ =8 s=8 TeV. No statistically significant excess of data over the predicted background is observed. The observed (expected) 95% confidence-level upper limit on the branching fraction, Br(H → μτ ), is 1.85% (1.24%)

An Addendum to Rational Function Fitting

This report is an addendum to the Rational BRDF publication available in hal-00678885In the paper Rational BRDF [PSCS∗12] Pacanowski et al. introduced a new algorithm to fit BRDF data. The fitting algorithm is an extension of the Rational Vertical Segment Interpolation method introduced by Salazar Celis et al. [SCV07]. In this document we clarify some technical and numerical aspects of the fitting procedure that need to be taken into account in order to get satisfactory fitting results

An Addendum to Rational Function Fitting

In the paper Rational BRDF [PSCS∗12] Pacanowski et al. introduced a new algorithm to fit BRDF data. The fitting algorithm is an extension of the Rational Vertical Segment Interpolation method introduced by Salazar Celis et al. [SCV07]. In this document we clarify some technical and numerical aspects of the fitting procedure that need to be taken into account in order to get satisfactory fitting results.Analyse des opérateurs de transport lumineux et application

Rational approximation of vertical segments

Lerat Serge. Géographie et écologie des milieux tropicaux. Problèmes d'analyse, d'aménagement et de développement. IVème colloque franco-japonais de Géographie. Talence, 1-4 octobre 1985. Bordeaux, C.E.G.E.T. (Travaux et Documents de Géographie Tropicale, 61). In: Cahiers d'outre-mer. N° 173 - 44e année, Janvier-mars 1991. p. 98